To solve this problem, we can make a proportion.
Since Kiara's money has a ratio of 9:7 in comparison to Tyler's, we can make the proportion as follows:
9/7=126/x, where x is Tyler's money. This can be simplified to 9=882/x, or 9x=882. Then, divide by 9 to find x, which results in x=98.
Now we know that Tyler has $98, so we just need to add 126 to 98 and get $224 all together.
Hope this helps!
Answer:
4m/s²
Step-by-step explanation:
Given that:
Force F is directly proportional to acceleration a
F α a
F = ka
Where k is the constant of proportionality
36 = 6k
Solve for K
36 = 6k
k = 36/6
k = 6
If force = 24 ; acceleration =
24 = ka
k = 6
24 = 6a
a = 24/6
a = 4m/s²
Hello there! So if we are looking for the number of miles in 584 kilometers, then all we have to do is divide, because there are about 1.61 kilometers in 1 mile. Dividing those two numbers of the same unit will help us convert to miles. 584/1.61 is 362.7329193 or 362.73 when rounded to the nearest hundredth. There. There are about 362.73 miles in 584 kilometers.
Answer:
x,y = 13/3, -10/3
Step-by-step explanation:
8x+8y=8
8x+2y=28 Subtract eq1 by eq 2
6y=-20
y=-20/6 y = -10/3
8x - 80/3=8
8x=34 2/3
x=4 1/3
x=13/3
Hope this helps plz hit the crown :D
Combine the 2nd and 3rd equations. 3x will disappear:
2y + 5z = 7 This is true for any y and z, and is independent of x.
7-5z
Solving for y, 2y = 7 - 5z, so that y = ---------
2
We have to eliminate x again by using the 1st and 2nd equations:
-2x - 6y - 2z = -2. We want the coeff. of x in the first eqn to be -3.
Therefore, mult. all terms of -2x - 6y - 2z = -2 by 3/2:
(3/2)(-2x - 6y - 2z = -2) = -3x -9y -3z =-3
Now add this version of the 1st row to the 2nd row:
-3x -9y -3z =-3
3x +2y +5z = 7
----------------------
-7y + 2z = 4
7 - 5z
We found earlier that y = ----------, and can elim. y by subst. this fraction into
2
-7y + 2z = 4. Then -7y + 2z = 4 becomes -7( (7-5z)/2 ) + 2Z = 4.
Elim. the fraction by mult. all terms by 2:
-7(7-5z) + 4z = 8 which becomes -49 + 35z + 4z = 8
so that 39z = 57, and so z = 57/39.
Subst. this back into -7y + 2z = 4 to calculate y. Make a final subst. to calculate x.
Given the choice, I would solve this system using matrices.
Turns out that the solution, using matrices, does not exist.
